Question $2$: Boolean Algebra $20\%$

a$)$ Simplify the Boolean function with clear steps, $Y=(A{B}^{\text{'}})(C+B)$

b$)$ Simplify the Boolean function with clear steps, $Y=A{C}^{\text{'}}+$ABC$+AC{D}^{\text{'}}+$ACD

c$)$ Given the following K$-$map of a function $Y,$ find its simplified Boolean expression.

d$)$ Given the Boolean function $F(A,B,C,D)=m(0,2,3,6,7,8,10),$ please draw its $($i$)K-$map and $($ii$)$ express

the function in simplified SOP using the K$-$map with clear steps and groupings.